Search a number
-
+
12022102010117 is a prime number
BaseRepresentation
bin1010111011110001110100…
…0111101010100100000101
31120120022010221220112211202
42232330131013222210011
53033432231103310432
641322513304512245
72350365616004543
oct256743507524405
946508127815752
1012022102010117
1139155aa195171
121421b6977b685
136928aa70a294
142d7c31114d93
1515cac849e462
hexaef1d1ea905

12022102010117 has 2 divisors, whose sum is σ = 12022102010118. Its totient is φ = 12022102010116.

The previous prime is 12022102010099. The next prime is 12022102010119. The reversal of 12022102010117 is 71101020122021.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11948318609956 + 73783400161 = 3456634^2 + 271631^2 .

It is a cyclic number.

It is not a de Polignac number, because 12022102010117 - 212 = 12022102006021 is a prime.

Together with 12022102010119, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12022102010119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6011051005058 + 6011051005059.

It is an arithmetic number, because the mean of its divisors is an integer number (6011051005059).

Almost surely, 212022102010117 is an apocalyptic number.

It is an amenable number.

12022102010117 is a deficient number, since it is larger than the sum of its proper divisors (1).

12022102010117 is an equidigital number, since it uses as much as digits as its factorization.

12022102010117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 12022102010117 its reverse (71101020122021), we get a palindrome (83123122132138).

The spelling of 12022102010117 in words is "twelve trillion, twenty-two billion, one hundred two million, ten thousand, one hundred seventeen".